%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC088-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:23 PM UTC 2026
% Result : Unsatisfiable 5.48s 1.69s
% Output : Refutation 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 33
% Syntax : Number of formulae : 168 ( 24 unt; 14 def)
% Number of atoms : 586 ( 71 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 768 ( 350 ~; 407 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(X1,cons(X0,nil)) = sk3
| app(cons(X0,nil),X1) != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sk3 = app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f214,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f215,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f229,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f239,definition,
! [X0] : sF0(X0) = cons(X0,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f240,plain,
! [X0] : cons(X0,nil) = sF0(X0),
inference(reorient_equations,[],[f239]) ).
fof(f241,definition,
! [X0,X1] : sF1(X1,X0) = app(X1,sF0(X0)),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f242,plain,
! [X0,X1] : app(X1,sF0(X0)) = sF1(X1,X0),
inference(reorient_equations,[],[f241]) ).
fof(f243,definition,
! [X0,X1] : sF2(X0,X1) = app(sF0(X0),X1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f244,plain,
! [X0,X1] : app(sF0(X0),X1) = sF2(X0,X1),
inference(reorient_equations,[],[f243]) ).
fof(f245,plain,
! [X0,X1] :
( sk4 != sF2(X0,X1)
| ~ ssList(X1)
| sk3 = sF1(X1,X0)
| ~ ssItem(X0) ),
inference(definition_folding,[],[f209,f244,f240,f242,f240]) ).
fof(f253,definition,
( spl3_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f254,plain,
( nil = sk4
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( nil != sk4
| spl3_1 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl3_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f259,plain,
( nil = sk3
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f210,f257,f253]) ).
fof(f266,definition,
( spl3_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f267,plain,
( ssList(nil)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f289,definition,
( spl3_9
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f291,plain,
( segmentP(nil,nil)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( spl3_9
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f215,f266,f289]) ).
fof(f302,plain,
spl3_4,
inference(avatar_split_clause,[],[f8,f266]) ).
fof(f307,plain,
( ~ ssList(sk4)
| ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(resolution,[],[f214,f213]) ).
fof(f308,plain,
( ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(forward_subsumption_resolution,[],[f307,f203]) ).
fof(f310,definition,
( spl3_12
<=> segmentP(sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f312,plain,
( ~ segmentP(sk3,sk4)
| spl3_12 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl3_13
<=> segmentP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
fof(f316,plain,
( ~ segmentP(sk4,sk4)
| spl3_13 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,plain,
( ~ spl3_12
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f308,f314,f310]) ).
fof(f318,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f203,f73]) ).
fof(f322,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(resolution,[],[f102,f214]) ).
fof(f323,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f324,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk3,X0) )
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f323,f267]) ).
fof(f331,plain,
! [X2,X0,X1] :
( segmentP(app(sF1(X0,X1),X2),sF0(X1))
| ~ ssList(X0)
| ~ ssList(sF0(X1))
| ~ ssList(app(sF1(X0,X1),X2))
| ~ ssList(X2) ),
inference(superposition,[],[f229,f242]) ).
fof(f332,plain,
! [X2,X0,X1] :
( segmentP(app(sF2(X0,X1),X2),X1)
| ~ ssList(sF0(X0))
| ~ ssList(X1)
| ~ ssList(app(sF2(X0,X1),X2))
| ~ ssList(X2) ),
inference(superposition,[],[f229,f244]) ).
fof(f334,plain,
! [X2,X0,X1] :
( segmentP(sF1(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sF1(app(X0,X1),X2))
| ~ ssList(sF0(X2)) ),
inference(superposition,[],[f229,f242]) ).
fof(f339,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f202,f73]) ).
fof(f359,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f381,plain,
! [X0] :
( ssList(sF0(X0))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f86,f240]) ).
fof(f383,plain,
( ! [X0] :
( ssList(sF0(X0))
| ~ ssItem(X0) )
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f381,f267]) ).
fof(f397,definition,
( spl3_15
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
fof(f398,plain,
( ssList(tl(sk4))
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( ~ ssList(tl(sk4))
| spl3_15 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f406,plain,
( ~ ssList(sk4)
| nil = sk4
| spl3_15 ),
inference(resolution,[],[f399,f77]) ).
fof(f407,plain,
( nil = sk4
| spl3_15 ),
inference(forward_subsumption_resolution,[],[f406,f203]) ).
fof(f408,plain,
( $false
| spl3_1
| spl3_15 ),
inference(forward_subsumption_resolution,[],[f407,f255]) ).
fof(f409,plain,
( spl3_1
| spl3_15 ),
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f412,plain,
( ~ segmentP(sk3,nil)
| ~ spl3_1
| spl3_12 ),
inference(superposition,[],[f312,f254]) ).
fof(f422,plain,
( ~ segmentP(nil,nil)
| ~ spl3_1
| ~ spl3_2
| spl3_12 ),
inference(forward_demodulation,[],[f412,f259]) ).
fof(f423,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_9
| spl3_12 ),
inference(forward_subsumption_resolution,[],[f422,f291]) ).
fof(f424,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_9
| spl3_12 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f359,f255]) ).
fof(f429,plain,
( tl(sk4) = app(nil,tl(sk4))
| ~ spl3_15 ),
inference(resolution,[],[f398,f74]) ).
fof(f432,definition,
( spl3_17
<=> nil = tl(sk4) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f433,plain,
( nil != tl(sk4)
| spl3_17 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( nil = tl(sk4)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f642,plain,
( ! [X0] :
( segmentP(sF1(tl(sk4),X0),tl(sk4))
| ~ ssList(nil)
| ~ ssList(tl(sk4))
| ~ ssList(sF1(tl(sk4),X0))
| ~ ssList(sF0(X0)) )
| ~ spl3_15 ),
inference(superposition,[],[f334,f429]) ).
fof(f646,plain,
( ! [X0] :
( segmentP(sF1(tl(sk4),X0),tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(sF1(tl(sk4),X0))
| ~ ssList(sF0(X0)) )
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f642,f267]) ).
fof(f649,plain,
( ! [X0] :
( segmentP(sF1(tl(sk4),X0),tl(sk4))
| ~ ssList(sF1(tl(sk4),X0))
| ~ ssList(sF0(X0)) )
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f646,f398]) ).
fof(f723,definition,
( spl3_20
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f724,plain,
( ssItem(hd(sk4))
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f725,plain,
( ~ ssItem(hd(sk4))
| spl3_20 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f732,plain,
( ~ ssList(sk4)
| nil = sk4
| spl3_20 ),
inference(resolution,[],[f725,f78]) ).
fof(f733,plain,
( nil = sk4
| spl3_20 ),
inference(forward_subsumption_resolution,[],[f732,f203]) ).
fof(f734,plain,
( $false
| spl3_1
| spl3_20 ),
inference(forward_subsumption_resolution,[],[f733,f255]) ).
fof(f735,plain,
( spl3_1
| spl3_20 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f736,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0) )
| ~ spl3_20 ),
inference(resolution,[],[f724,f126]) ).
fof(f737,plain,
( ! [X0] :
( app(sF0(hd(sk4)),X0) = cons(hd(sk4),X0)
| ~ ssList(X0) )
| ~ spl3_20 ),
inference(forward_demodulation,[],[f736,f240]) ).
fof(f738,plain,
( ! [X0] :
( ~ ssList(X0)
| sF2(hd(sk4),X0) = cons(hd(sk4),X0) )
| ~ spl3_20 ),
inference(forward_demodulation,[],[f737,f244]) ).
fof(f741,plain,
( ! [X0] :
( ~ ssItem(X0)
| sF0(X0) = app(nil,sF0(X0)) )
| ~ spl3_4 ),
inference(resolution,[],[f383,f74]) ).
fof(f755,plain,
( ! [X0] :
( ~ ssItem(X0)
| sF0(X0) = sF1(nil,X0) )
| ~ spl3_4 ),
inference(forward_demodulation,[],[f741,f242]) ).
fof(f789,plain,
( sF0(hd(sk4)) = sF1(nil,hd(sk4))
| ~ spl3_4
| ~ spl3_20 ),
inference(resolution,[],[f755,f724]) ).
fof(f844,definition,
( spl3_22
<=> ssList(sF0(hd(sk4))) ),
introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition]) ).
fof(f845,plain,
( ssList(sF0(hd(sk4)))
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f846,plain,
( ~ ssList(sF0(hd(sk4)))
| spl3_22 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f861,plain,
( cons(hd(sk4),tl(sk4)) = sF2(hd(sk4),tl(sk4))
| ~ spl3_15
| ~ spl3_20 ),
inference(resolution,[],[f738,f398]) ).
fof(f868,plain,
( sk4 = sF2(hd(sk4),tl(sk4))
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f861,f425]) ).
fof(f872,plain,
( ! [X0] :
( segmentP(app(sk4,X0),tl(sk4))
| ~ ssList(sF0(hd(sk4)))
| ~ ssList(tl(sk4))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(superposition,[],[f332,f868]) ).
fof(f873,plain,
( sk4 != sk4
| ~ ssList(tl(sk4))
| sk3 = sF1(tl(sk4),hd(sk4))
| ~ ssItem(hd(sk4))
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(superposition,[],[f245,f868]) ).
fof(f874,plain,
( ~ ssList(tl(sk4))
| sk3 = sF1(tl(sk4),hd(sk4))
| ~ ssItem(hd(sk4))
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f873]) ).
fof(f875,plain,
( sk3 = sF1(tl(sk4),hd(sk4))
| ~ ssItem(hd(sk4))
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f874,f398]) ).
fof(f876,plain,
( sk3 = sF1(tl(sk4),hd(sk4))
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f875,f724]) ).
fof(f880,plain,
( ~ ssItem(hd(sk4))
| ~ spl3_4
| spl3_22 ),
inference(resolution,[],[f846,f383]) ).
fof(f881,plain,
( $false
| ~ spl3_4
| ~ spl3_20
| spl3_22 ),
inference(forward_subsumption_resolution,[],[f880,f724]) ).
fof(f882,plain,
( ~ spl3_4
| ~ spl3_20
| spl3_22 ),
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f883,plain,
( ! [X0] :
( segmentP(app(sk4,X0),tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| spl3_1
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f872,f845]) ).
fof(f886,plain,
( ! [X0] :
( segmentP(app(sk4,X0),tl(sk4))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| spl3_1
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f883,f398]) ).
fof(f999,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sF0(hd(sk4)))
| ~ ssList(tl(sk4))
| ~ ssList(sF0(hd(sk4)))
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) )
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(superposition,[],[f331,f876]) ).
fof(f1001,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sF0(hd(sk4)))
| ~ ssList(sF0(hd(sk4)))
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) )
| spl3_1
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f999,f398]) ).
fof(f1002,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sF0(hd(sk4)))
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) )
| spl3_1
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1001,f845]) ).
fof(f1218,plain,
( segmentP(sk3,sF0(hd(sk4)))
| ~ ssList(sk3)
| ~ ssList(nil)
| spl3_1
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f1002,f339]) ).
fof(f1220,plain,
( segmentP(sk3,sF0(hd(sk4)))
| ~ ssList(nil)
| spl3_1
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1218,f202]) ).
fof(f1221,plain,
( segmentP(sk3,sF0(hd(sk4)))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1220,f267]) ).
fof(f1241,plain,
( segmentP(sk3,tl(sk4))
| ~ ssList(sk3)
| ~ ssList(sF0(hd(sk4)))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_20 ),
inference(superposition,[],[f649,f876]) ).
fof(f1242,plain,
( segmentP(sk3,tl(sk4))
| ~ ssList(sF0(hd(sk4)))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f1241,f202]) ).
fof(f1243,plain,
( segmentP(sk3,tl(sk4))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1242,f845]) ).
fof(f1336,definition,
( spl3_52
<=> sk3 = sk4 ),
introduced(definition,[new_symbols(definition,[spl3_52])],[avatar_definition]) ).
fof(f1337,plain,
( sk3 = sk4
| ~ spl3_52 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1338,plain,
( sk3 != sk4
| spl3_52 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f3182,plain,
( segmentP(sk4,tl(sk4))
| ~ ssList(sk4)
| ~ ssList(nil)
| spl3_1
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f886,f318]) ).
fof(f3184,plain,
( segmentP(sk4,tl(sk4))
| ~ ssList(nil)
| spl3_1
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f3182,f203]) ).
fof(f3185,plain,
( segmentP(sk4,tl(sk4))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f3184,f267]) ).
fof(f3186,plain,
( nil = tl(sk4)
| ~ ssList(tl(sk4))
| ~ segmentP(sk3,tl(sk4))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(resolution,[],[f3185,f324]) ).
fof(f3187,plain,
( ~ ssList(tl(sk4))
| ~ segmentP(sk3,tl(sk4))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| spl3_17
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f3186,f433]) ).
fof(f3188,plain,
( ~ segmentP(sk3,tl(sk4))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| spl3_17
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f3187,f398]) ).
fof(f3189,plain,
( $false
| spl3_1
| ~ spl3_4
| ~ spl3_15
| spl3_17
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f3188,f1243]) ).
fof(f3190,plain,
( spl3_1
| ~ spl3_4
| ~ spl3_15
| spl3_17
| ~ spl3_20
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f3189]) ).
fof(f3192,plain,
( sk4 = cons(hd(sk4),nil)
| spl3_1
| ~ spl3_17 ),
inference(superposition,[],[f425,f434]) ).
fof(f3199,plain,
( sk3 = sF1(nil,hd(sk4))
| spl3_1
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20 ),
inference(superposition,[],[f876,f434]) ).
fof(f3239,plain,
( sk3 = sF0(hd(sk4))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3199,f789]) ).
fof(f3241,plain,
( sk4 = sF0(hd(sk4))
| spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f3192,f240]) ).
fof(f3259,plain,
( sk3 = sk4
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3241,f3239]) ).
fof(f3265,plain,
( $false
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20
| spl3_52 ),
inference(forward_subsumption_resolution,[],[f3259,f1338]) ).
fof(f3266,plain,
( spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20
| spl3_52 ),
inference(avatar_contradiction_clause,[],[f3265]) ).
fof(f3271,plain,
( ~ segmentP(sk4,sk4)
| spl3_12
| ~ spl3_52 ),
inference(superposition,[],[f312,f1337]) ).
fof(f3300,plain,
( segmentP(sk4,sF0(hd(sk4)))
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22
| ~ spl3_52 ),
inference(superposition,[],[f1221,f1337]) ).
fof(f3429,plain,
( segmentP(sk4,sk3)
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20
| ~ spl3_22
| ~ spl3_52 ),
inference(forward_demodulation,[],[f3300,f3239]) ).
fof(f3436,plain,
( ~ spl3_13
| spl3_12
| ~ spl3_52 ),
inference(avatar_split_clause,[],[f3271,f1336,f310,f314]) ).
fof(f3474,plain,
( segmentP(sk4,sk4)
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20
| ~ spl3_22
| ~ spl3_52 ),
inference(forward_demodulation,[],[f3429,f1337]) ).
fof(f3503,plain,
( spl3_13
| spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20
| ~ spl3_22
| ~ spl3_52 ),
inference(avatar_split_clause,[],[f3474,f1336,f844,f723,f432,f397,f266,f253,f314]) ).
fof(f3539,plain,
( ~ segmentP(nil,nil)
| ~ spl3_1
| spl3_13 ),
inference(forward_demodulation,[],[f316,f254]) ).
fof(f3597,plain,
( $false
| ~ spl3_1
| ~ spl3_9
| spl3_13 ),
inference(forward_subsumption_resolution,[],[f3539,f291]) ).
fof(f3598,plain,
( ~ spl3_1
| ~ spl3_9
| spl3_13 ),
inference(avatar_contradiction_clause,[],[f3597]) ).
cnf(s1,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f260]) ).
cnf(s7,plain,
( ~ spl3_4
| spl3_9 ),
inference(sat_conversion,[],[f292]) ).
cnf(s11,plain,
spl3_4,
inference(sat_conversion,[],[f302]) ).
cnf(s12,plain,
( ~ spl3_12
| ~ spl3_13 ),
inference(sat_conversion,[],[f317]) ).
cnf(s15,plain,
( spl3_1
| spl3_15 ),
inference(sat_conversion,[],[f409]) ).
cnf(s17,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_9
| spl3_12 ),
inference(sat_conversion,[],[f424]) ).
cnf(s22,plain,
( spl3_1
| spl3_20 ),
inference(sat_conversion,[],[f735]) ).
cnf(s26,plain,
( ~ spl3_4
| ~ spl3_20
| spl3_22 ),
inference(sat_conversion,[],[f882]) ).
cnf(s139,plain,
( spl3_1
| ~ spl3_4
| ~ spl3_15
| spl3_17
| ~ spl3_20
| ~ spl3_22 ),
inference(sat_conversion,[],[f3190]) ).
cnf(s144,plain,
( spl3_1
| ~ spl3_4
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20
| spl3_52 ),
inference(sat_conversion,[],[f3266]) ).
cnf(s148,plain,
( spl3_12
| ~ spl3_13
| ~ spl3_52 ),
inference(sat_conversion,[],[f3436]) ).
cnf(s150,plain,
( spl3_1
| ~ spl3_4
| spl3_13
| ~ spl3_15
| ~ spl3_17
| ~ spl3_20
| ~ spl3_22
| ~ spl3_52 ),
inference(sat_conversion,[],[f3503]) ).
cnf(s157,plain,
( ~ spl3_1
| ~ spl3_9
| spl3_13 ),
inference(sat_conversion,[],[f3598]) ).
cnf(s163,plain,
spl3_9,
inference(rat,[],[s7,s11]) ).
cnf(s167,plain,
( ~ spl3_52
| ~ spl3_15
| spl3_1
| ~ spl3_17
| ~ spl3_20
| ~ spl3_22 ),
inference(rat,[],[s148,s12,s150,s11]) ).
cnf(s168,plain,
( ~ spl3_15
| ~ spl3_22
| spl3_1
| ~ spl3_20 ),
inference(rat,[],[s167,s144,s139,s11]) ).
cnf(s169,plain,
spl3_1,
inference(rat,[],[s168,s26,s15,s22,s11]) ).
cnf(s170,plain,
spl3_13,
inference(rat,[],[s157,s163,s169]) ).
cnf(s171,plain,
spl3_2,
inference(rat,[],[s1,s169]) ).
cnf(s172,plain,
spl3_12,
inference(rat,[],[s17,s171,s163,s169]) ).
cnf(s173,plain,
$false,
inference(rat,[],[s12,s170,s172]) ).
fof(f3658,plain,
$false,
inference(avatar_sat_refutation,[],[s173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC088-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.34 % Computer : n014.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 28 07:48:46 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.48/1.69 % (1615317)Input is clausal, will run a generic CNF schedule.
% 5.48/1.69 % (1615322)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1646428728:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.48/1.69 % (1615326)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3490630415:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.48/1.69 % (1615325)lrs+10_1_sil=8000:sp=occurrence:random_seed=2417275128:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.48/1.69 % (1615328)dis-21_1_sil=8000:lcm=predicate:random_seed=2542402317:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.48/1.69 % (1615327)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=805829635:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.48/1.69 % (1615324)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3236993698:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.48/1.69 % (1615323)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3695103421:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.48/1.69 % (1615326)Instruction limit reached!
% 5.48/1.69 % (1615326)------------------------------
% 5.48/1.69 % (1615326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615326)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615326)Termination reason: Instruction limit
% 5.48/1.69 % (1615326)Termination phase: Saturation
% 5.48/1.69 % (1615326)Time elapsed: 0.056 s
% 5.48/1.69 % (1615326)Peak memory usage: 88 MB
% 5.48/1.69 % (1615326)Instructions burned: 115 (million)
% 5.48/1.69 % (1615328)Instruction limit reached!
% 5.48/1.69 % (1615328)------------------------------
% 5.48/1.69 % (1615328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615328)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615328)Termination reason: Instruction limit
% 5.48/1.69 % (1615328)Termination phase: Saturation
% 5.48/1.69 % (1615328)Time elapsed: 0.059 s
% 5.48/1.69 % (1615328)Peak memory usage: 89 MB
% 5.48/1.69 % (1615328)Instructions burned: 117 (million)
% 5.48/1.69 % (1615325)Instruction limit reached!
% 5.48/1.69 % (1615325)------------------------------
% 5.48/1.69 % (1615325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615325)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615325)Termination reason: Instruction limit
% 5.48/1.69 % (1615325)Termination phase: Saturation
% 5.48/1.69 % (1615325)Time elapsed: 0.065 s
% 5.48/1.69 % (1615325)Peak memory usage: 89 MB
% 5.48/1.69 % (1615325)Instructions burned: 109 (million)
% 5.48/1.69 % (1615327)Instruction limit reached!
% 5.48/1.69 % (1615327)------------------------------
% 5.48/1.69 % (1615327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615327)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615327)Termination reason: Instruction limit
% 5.48/1.69 % (1615327)Termination phase: Saturation
% 5.48/1.69 % (1615327)Time elapsed: 0.121 s
% 5.48/1.69 % (1615327)Peak memory usage: 90 MB
% 5.48/1.69 % (1615327)Instructions burned: 181 (million)
% 5.48/1.69 % (1615336)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2167183012:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.48/1.69 % (1615337)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3508945425:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.48/1.69 % (1615338)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2099168190:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.48/1.69 % (1615336)Refutation not found, incomplete strategy
% 5.48/1.69 % (1615336)------------------------------
% 5.48/1.69 % (1615336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615336)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615336)Termination reason: Refutation not found, incomplete strategy
% 5.48/1.69 % (1615336)Time elapsed: 0.003 s
% 5.48/1.69 % (1615336)Peak memory usage: 88 MB
% 5.48/1.69 % (1615336)Instructions burned: 2 (million)
% 5.48/1.69 % (1615339)lrs+10_64_to=lpo:sil=8000:random_seed=2402258482:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.48/1.69 % (1615338)Instruction limit reached!
% 5.48/1.69 % (1615338)------------------------------
% 5.48/1.69 % (1615338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615338)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615338)Termination reason: Instruction limit
% 5.48/1.69 % (1615338)Termination phase: Saturation
% 5.48/1.69 % (1615338)Time elapsed: 0.084 s
% 5.48/1.69 % (1615338)Peak memory usage: 88 MB
% 5.48/1.69 % (1615338)Instructions burned: 221 (million)
% 5.48/1.69 % (1615337)Instruction limit reached!
% 5.48/1.69 % (1615337)------------------------------
% 5.48/1.69 % (1615337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615337)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615337)Termination reason: Instruction limit
% 5.48/1.69 % (1615337)Termination phase: Saturation
% 5.48/1.69 % (1615337)Time elapsed: 0.096 s
% 5.48/1.69 % (1615337)Peak memory usage: 90 MB
% 5.48/1.69 % (1615337)Instructions burned: 189 (million)
% 5.48/1.69 % (1615339)Instruction limit reached!
% 5.48/1.69 % (1615339)------------------------------
% 5.48/1.69 % (1615339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615339)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615339)Termination reason: Instruction limit
% 5.48/1.69 % (1615339)Termination phase: Saturation
% 5.48/1.69 % (1615339)Time elapsed: 0.066 s
% 5.48/1.69 % (1615339)Peak memory usage: 90 MB
% 5.48/1.69 % (1615339)Instructions burned: 126 (million)
% 5.48/1.69 % (1615344)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=964630916:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.48/1.69 % (1615336)------------------------------
% 5.48/1.69 % (1615336)------------------------------
% 5.48/1.69 % (1615345)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=177628189:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.48/1.69 % (1615346)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3741528886:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.48/1.69 % (1615322)First to succeed.
% 5.48/1.69 % (1615322)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1615317"
% 5.48/1.69 % (1615345)Instruction limit reached!
% 5.48/1.69 % (1615345)------------------------------
% 5.48/1.69 % (1615345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615345)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615345)Termination reason: Instruction limit
% 5.48/1.69 % (1615345)Termination phase: Saturation
% 5.48/1.69 % (1615345)Time elapsed: 0.093 s
% 5.48/1.69 % (1615345)Peak memory usage: 91 MB
% 5.48/1.69 % (1615345)Instructions burned: 157 (million)
% 5.48/1.69 % (1615344)Instruction limit reached!
% 5.48/1.69 % (1615344)------------------------------
% 5.48/1.69 % (1615344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615344)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615344)Termination reason: Instruction limit
% 5.48/1.69 % (1615344)Termination phase: Saturation
% 5.48/1.69 % (1615344)Time elapsed: 0.125 s
% 5.48/1.69 % (1615344)Peak memory usage: 90 MB
% 5.48/1.69 % (1615344)Instructions burned: 195 (million)
% 5.48/1.69 % (1615348)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4228919131:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.48/1.69 % (1615348)Instruction limit reached!
% 5.48/1.69 % (1615348)------------------------------
% 5.48/1.69 % (1615348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.69 % (1615348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.69 % (1615348)CaDiCaL version: 2.1.3
% 5.48/1.69 % (1615348)Termination reason: Instruction limit
% 5.48/1.69 % (1615348)Termination phase: Saturation
% 5.48/1.69 % (1615348)Time elapsed: 0.057 s
% 5.48/1.69 % (1615348)Peak memory usage: 89 MB
% 5.48/1.69 % (1615348)Instructions burned: 108 (million)
% 5.48/1.69 % (1615322)Refutation found. Thanks to Tanya!
% 5.48/1.69 % SZS status Unsatisfiable for theBenchmark
% 5.48/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 6.68/1.79 % (1615322)------------------------------
% 6.68/1.79 % (1615322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.79 % (1615322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.79 % (1615322)CaDiCaL version: 2.1.3
% 6.68/1.79 % (1615322)Termination reason: Refutation
% 6.68/1.79 % (1615322)Time elapsed: 0.602 s
% 6.68/1.79 % (1615322)Peak memory usage: 136 MB
% 6.68/1.79 % (1615322)Instructions burned: 1534 (million)
% 6.68/1.79 % (1615322)------------------------------
% 6.68/1.79 % (1615322)------------------------------
% 6.68/1.79 % (1615317)Success in time 0.888 s
% 6.68/1.79 % Vampire exiting
%------------------------------------------------------------------------------